{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "dbcebe14-43aa-416b-b17a-20f2d4783cd7",
   "metadata": {},
   "source": [
    "# 机器学习入门————线性回归\n",
    "跟着油管[GrandmaCan -我阿嬷都会](https://www.youtube.com/watch?v=wm9yR1VspPs)学习的案例。\n",
    "\n",
    "\n",
    "\n",
    "## 数据读取"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c3273e15-1937-4453-ae02-f24bebd13d6f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T07:01:41.341130Z",
     "iopub.status.busy": "2023-05-14T07:01:41.340432Z",
     "iopub.status.idle": "2023-05-14T07:01:42.337728Z",
     "shell.execute_reply": "2023-05-14T07:01:42.336635Z",
     "shell.execute_reply.started": "2023-05-14T07:01:41.341066Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# 导入必须的包\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "from matplotlib.font_manager import fontManager\n",
    "from tqdm.notebook import tqdm\n",
    "# %matplotlib ipympl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c1fbfbc9-cbae-402d-93d9-15f12563fcdb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T07:01:42.340351Z",
     "iopub.status.busy": "2023-05-14T07:01:42.339795Z",
     "iopub.status.idle": "2023-05-14T07:01:43.689342Z",
     "shell.execute_reply": "2023-05-14T07:01:43.687944Z",
     "shell.execute_reply.started": "2023-05-14T07:01:42.340316Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# 数据读取\n",
    "data = pd.read_csv(\"https://raw.githubusercontent.com/GrandmaCan/ML/main/Resgression/Salary_Data.csv\")\n",
    "data.to_csv(\"data.csv\")\n",
    "data = pd.read_csv(\"data.csv\")\n",
    "year_exp = data[\"YearsExperience\"]\n",
    "salary = data[\"Salary\"]\n",
    "x = year_exp\n",
    "y = salary\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "29be5823-6e75-46bb-8cda-50ac0034b3da",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:12.593803Z",
     "iopub.status.busy": "2023-05-14T06:00:12.593486Z",
     "iopub.status.idle": "2023-05-14T06:00:12.599405Z",
     "shell.execute_reply": "2023-05-14T06:00:12.598615Z",
     "shell.execute_reply.started": "2023-05-14T06:00:12.593773Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# matplotlib设置中文\n",
    "#!wget https://github.com/GrandmaCan/ML/raw/main/Resgression/ChineseFont.ttf\n",
    "fontManager.addfont(\"ChineseFont.ttf\")\n",
    "matplotlib.rc('font', family=\"ChineseFont\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5ad92aa2-8a02-4612-8f08-efa9c70bbb12",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:12.600986Z",
     "iopub.status.busy": "2023-05-14T06:00:12.600588Z",
     "iopub.status.idle": "2023-05-14T06:00:12.930328Z",
     "shell.execute_reply": "2023-05-14T06:00:12.929519Z",
     "shell.execute_reply.started": "2023-05-14T06:00:12.600956Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制数据散点图\n",
    "plt.scatter(x, y )\n",
    "plt.title(\"原始数据分布\")\n",
    "plt.xlabel(\"工作经验/年\")\n",
    "plt.ylabel(\"实际薪酬/万\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b31f066-e9b3-4d7b-a515-6fdccbd10a6d",
   "metadata": {
    "tags": []
   },
   "source": [
    "-------------------\n",
    "\n",
    "## 模型选择\n",
    "从上图可见，工作经验与薪酬大致成线性关系，也就是符合 y = w*x + b 模型。\n",
    "如果我们随便画一个y = w*x + b直线，那么该如何判断这条直线能很好地拟合真实数据呢？\n",
    "\n",
    "-----------------------\n",
    "## 成本函数\n",
    "为了探究直线y = w*x + b与实际的差别，我们可以将x（工作经验）依次代入预测直线，然后得到预测的\n",
    "薪酬 y_pred。我们将 y_pred 与实际值 y 的距离定义为成本，成本越低，也就是拟合得越好。\n",
    "\n",
    "为了探究整体的成本，那么 成本函数可以写成:\n",
    "$$\n",
    "cost=\\frac{\\sum (y_{pred} - y_{real})^2}{n}\n",
    "$$\n",
    "\n",
    "\n",
    "有了成本函数，我们就可以尝试不同的 w 以及 b 值的组合，当cost最小的时候，我们认为拟合最小。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4d8494f6-77c6-4a63-9e86-7b8e588411f7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:12.933383Z",
     "iopub.status.busy": "2023-05-14T06:00:12.932882Z",
     "iopub.status.idle": "2023-05-14T06:00:13.294737Z",
     "shell.execute_reply": "2023-05-14T06:00:13.293513Z",
     "shell.execute_reply.started": "2023-05-14T06:00:12.933352Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "当前的成本是602.547878787879\n"
     ]
    }
   ],
   "source": [
    "# 绘制成本函数与真实值\n",
    "\n",
    "def cal_cost(x,y,w,b):\n",
    "    '''\n",
    "    输入真实数据，以及模型的参数w与b，输出该参数下的预测成本\n",
    "    x: 测试集里的工作经验\n",
    "    y: 测试集里的薪酬\n",
    "    '''\n",
    "    # 线性模型\n",
    "    y_pred = w*x + b\n",
    "    \n",
    "    # 计算成本\n",
    "    cost = ((y - y_pred)**2).sum()/len(x)\n",
    "    return cost\n",
    "\n",
    "def plot_pred(x, y, w, b):    \n",
    "    \"\"\"\n",
    "    输入真实数据，以及模型的参数w与b，输出该参数下模型的图与真实数据的图\n",
    "    x: 测试集里的工作经验\n",
    "    y: 测试集里的薪酬\n",
    "    \"\"\"\n",
    "    y_pred = w*x + b\n",
    "    fig = plt.figure(figsize=(5,5))\n",
    "    \n",
    "    ax1 = fig.add_subplot(1,1,1)\n",
    "    # ax2 = fig.add_subplot(1,2,2, projection = '3d')\n",
    "    ax1.scatter(x, y, marker = 'x', color = 'red', label = \"真实数据\")\n",
    "    ax1.plot(x, y_pred, label = \"预测线\")\n",
    "    ax1.set_xlabel(\"工作经验/年\")\n",
    "    ax1.set_ylabel(\"月薪（万）\")\n",
    "    ax1.set_title(\"工作时长-月薪关系\")\n",
    "    ax1.set_xlim([0,12])\n",
    "    ax1.set_ylim([-10,140])\n",
    "    ax1.legend()\n",
    "    plt.show()\n",
    "    \n",
    "\n",
    "# 定义好函数，测试一下w=10, b=0时候的效果\n",
    "plot_pred(x,y,10,0)\n",
    "print(\"当前的成本是\" + str(cal_cost(x,y,10,0)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e814def-3bdc-4e4d-a612-9502e37993cd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-13T12:06:26.635643Z",
     "iopub.status.busy": "2023-05-13T12:06:26.634893Z",
     "iopub.status.idle": "2023-05-13T12:06:26.641334Z",
     "shell.execute_reply": "2023-05-13T12:06:26.640431Z",
     "shell.execute_reply.started": "2023-05-13T12:06:26.635580Z"
    },
    "tags": []
   },
   "source": [
    "从上图中，我们可以看到当w=10，b=0时候的预测函数，此时显然拟合度较差,成本是602.\n",
    "\n",
    "那么，怎么才能知道w、b拟合得最好时候的值，也就是什么时候成本最低呢？我们先尝试把所有可能性列出来：\n",
    "\n",
    "假设b = 0，我们先做个尝试。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "17fc53d8-24a0-4cb5-87b3-8041e5218e7b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:13.296803Z",
     "iopub.status.busy": "2023-05-14T06:00:13.296225Z",
     "iopub.status.idle": "2023-05-14T06:00:13.435955Z",
     "shell.execute_reply": "2023-05-14T06:00:13.435098Z",
     "shell.execute_reply.started": "2023-05-14T06:00:13.296763Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "最小成本是249.38,此时w值为13.00\n"
     ]
    }
   ],
   "source": [
    "b = 0\n",
    "costs = [] # 用于记录w不同取值下的成本\n",
    "for w in range(-100, 100):\n",
    "    cost = cal_cost(x, y , w, b)\n",
    "    costs.append(cost)\n",
    "\n",
    "min_cost = np.min(costs)\n",
    "index = np.where(min_cost==costs) #获取最小值的索引\n",
    "min_w = range(-100,100)[index[0][0]]\n",
    "print(\"最小成本是%.2f\"  %min_cost + \",此时w值为%.2f\" %min_w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "39e2aa0e-5de6-4afc-b261-6451c935a80c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:13.437637Z",
     "iopub.status.busy": "2023-05-14T06:00:13.437329Z",
     "iopub.status.idle": "2023-05-14T06:00:13.816491Z",
     "shell.execute_reply": "2023-05-14T06:00:13.815491Z",
     "shell.execute_reply.started": "2023-05-14T06:00:13.437608Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制b = 0时候的成本曲线\n",
    "plt.plot(range(-100,100), costs, label = \"成本函数\")\n",
    "plt.xlabel(\"w的值\")\n",
    "plt.ylabel(\"成本\")\n",
    "plt.title(\"b=0时的成本函数\")\n",
    "plt.scatter(min_w, min_cost, label = \"最低点\", color = 'red')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05e9e0a8-e1a5-4cb9-a06b-f97f81b27595",
   "metadata": {},
   "source": [
    "可以从图中看出，当b=0的时候，成本最低的w应该取13. 但是，实际上b也是会有变动的，所以线性模型的图应当是个三维曲面。\n",
    "\n",
    "\n",
    "接下来，生成w和b的可能取值，然后生成一个对应维度的0矩阵。然后递归w和b，计算所有可能下的cost值。这种三维的计算与上面的二维计算一样，都是暴力计算，穷举所有可能。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "70f01566-80b6-437e-9560-00f9d86f54a6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:13.817958Z",
     "iopub.status.busy": "2023-05-14T06:00:13.817627Z",
     "iopub.status.idle": "2023-05-14T06:00:41.590253Z",
     "shell.execute_reply": "2023-05-14T06:00:41.588776Z",
     "shell.execute_reply.started": "2023-05-14T06:00:13.817928Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e365a67704cf47c791c58051cdb3ad0e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/201 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ws = np.arange(-100,101)\n",
    "bs = np.arange(-100,101)\n",
    "costs = np.zeros((201,201))\n",
    "i = 0\n",
    "\n",
    "# ax = plt.axes(projection=\"3d\")\n",
    "counter = 0 \n",
    "for w in tqdm(ws):\n",
    "    j = 0\n",
    "    for b in bs:\n",
    "        counter = counter + 1\n",
    "        \n",
    "        cost = cal_cost(x, y, w, b)\n",
    "        costs[i,j] = cost\n",
    "        j = j + 1\n",
    "    i = i + 1\n",
    "\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "94b792e8-b3d5-4366-a79a-4070e61f9b43",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:41.592175Z",
     "iopub.status.busy": "2023-05-14T06:00:41.591761Z",
     "iopub.status.idle": "2023-05-14T06:00:41.600046Z",
     "shell.execute_reply": "2023-05-14T06:00:41.598869Z",
     "shell.execute_reply.started": "2023-05-14T06:00:41.592137Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "40401"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counter"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee647cf4-3bef-4435-b1ea-081cb9f40323",
   "metadata": {},
   "source": [
    "经过穷举，算出了所有可能的值，总共用时27s。接下来我们可以根据暴力算出的数据画出整个三维曲面了\n",
    "\n",
    "\n",
    "**注意：ws_grid,bs_grid = np.meshgrid(ws, bs)与bs_grid,ws_grid = np.meshgrid(bs, ws)返回的结果并不一样！！！**\n",
    "\n",
    "\n",
    "到底为什么呢？不知道\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "665bafaa-9885-466b-b7b4-ef5fd6630b11",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:41.603049Z",
     "iopub.status.busy": "2023-05-14T06:00:41.601987Z",
     "iopub.status.idle": "2023-05-14T06:00:42.062453Z",
     "shell.execute_reply": "2023-05-14T06:00:42.061593Z",
     "shell.execute_reply.started": "2023-05-14T06:00:41.602987Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[9] [29]\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# 数据网格化，若不网格化，ws、bs的长度与costs无法对应。\n",
    "ws_grid,bs_grid = np.meshgrid(ws, bs)\n",
    "\n",
    "# 绘图\n",
    "ax = plt.axes(projection=\"3d\")\n",
    "# ax.plot_surface(ws, bs, costs, cmap=\"Spectral_r\", alpha = 0.7)\n",
    "ax.plot_surface(ws_grid, bs_grid,costs, cmap=\"Spectral_r\", alpha = 0.7)\n",
    "ax.set_title(\"成本函数\")\n",
    "ax.set_xlabel(\"w值\")\n",
    "ax.set_ylabel(\"b 值\")\n",
    "ax.set_zlabel(\"成本\")\n",
    "# ax.view_init(45,-120) # 旋转图片，x转45°，y转-120\n",
    "w_index, b_index = np.where(costs == np.min(costs))\n",
    "ax.scatter3D(ws[w_index], bs[b_index], np.min(costs), color = 'red')\n",
    "ax.scatter3D(32,-93,4799)\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(ws[w_index], bs[b_index])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4bbf9652-f510-443d-8bf6-45a868c329aa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:42.063935Z",
     "iopub.status.busy": "2023-05-14T06:00:42.063610Z",
     "iopub.status.idle": "2023-05-14T06:00:42.070273Z",
     "shell.execute_reply": "2023-05-14T06:00:42.069511Z",
     "shell.execute_reply.started": "2023-05-14T06:00:42.063906Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-100,  -99,  -98, ...,   98,   99,  100],\n",
       "       [-100,  -99,  -98, ...,   98,   99,  100],\n",
       "       [-100,  -99,  -98, ...,   98,   99,  100],\n",
       "       ...,\n",
       "       [-100,  -99,  -98, ...,   98,   99,  100],\n",
       "       [-100,  -99,  -98, ...,   98,   99,  100],\n",
       "       [-100,  -99,  -98, ...,   98,   99,  100]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ws_grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9688ad00-d256-4fe7-b7df-f2659117176e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:42.071943Z",
     "iopub.status.busy": "2023-05-14T06:00:42.071354Z",
     "iopub.status.idle": "2023-05-14T06:00:42.098405Z",
     "shell.execute_reply": "2023-05-14T06:00:42.097374Z",
     "shell.execute_reply.started": "2023-05-14T06:00:42.071912Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-100, -100, -100, ..., -100, -100, -100],\n",
       "       [ -99,  -99,  -99, ...,  -99,  -99,  -99],\n",
       "       [ -98,  -98,  -98, ...,  -98,  -98,  -98],\n",
       "       ...,\n",
       "       [  98,   98,   98, ...,   98,   98,   98],\n",
       "       [  99,   99,   99, ...,   99,   99,   99],\n",
       "       [ 100,  100,  100, ...,  100,  100,  100]])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bs_grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "132ae427-37bd-45eb-8dda-dcaaa5d72578",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:42.100876Z",
     "iopub.status.busy": "2023-05-14T06:00:42.099897Z",
     "iopub.status.idle": "2023-05-14T06:00:42.546058Z",
     "shell.execute_reply": "2023-05-14T06:00:42.544433Z",
     "shell.execute_reply.started": "2023-05-14T06:00:42.100796Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[9] [29]\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# 数据网格化，若不网格化，ws、bs的长度与costs无法对应。\n",
    "bs_grid,ws_grid = np.meshgrid(bs, ws)\n",
    "\n",
    "# 绘图\n",
    "ax = plt.axes(projection=\"3d\")\n",
    "# ax.plot_surface(ws, bs, costs, cmap=\"Spectral_r\", alpha = 0.7)\n",
    "ax.plot_surface(ws_grid, bs_grid,costs, cmap=\"Spectral_r\", alpha = 0.7)\n",
    "ax.set_title(\"成本函数\")\n",
    "ax.set_xlabel(\"w值\")\n",
    "ax.set_ylabel(\"b 值\")\n",
    "ax.set_zlabel(\"成本\")\n",
    "# ax.view_init(45,-120) # 旋转图片，x转45°，y转-120\n",
    "w_index, b_index = np.where(costs == np.min(costs))\n",
    "ax.scatter3D(ws[w_index], bs[b_index], np.min(costs), color = 'red')\n",
    "ax.scatter3D(32,-93,4799)\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(ws[w_index], bs[b_index])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "840e10e8-85a3-420b-a31b-f734e6020e0e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:42.551117Z",
     "iopub.status.busy": "2023-05-14T06:00:42.550652Z",
     "iopub.status.idle": "2023-05-14T06:00:42.558307Z",
     "shell.execute_reply": "2023-05-14T06:00:42.557508Z",
     "shell.execute_reply.started": "2023-05-14T06:00:42.551076Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-100, -100, -100, ..., -100, -100, -100],\n",
       "       [ -99,  -99,  -99, ...,  -99,  -99,  -99],\n",
       "       [ -98,  -98,  -98, ...,  -98,  -98,  -98],\n",
       "       ...,\n",
       "       [  98,   98,   98, ...,   98,   98,   98],\n",
       "       [  99,   99,   99, ...,   99,   99,   99],\n",
       "       [ 100,  100,  100, ...,  100,  100,  100]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ws_grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "852c975b-0d05-43c3-800e-273c8b6b85ea",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:42.559924Z",
     "iopub.status.busy": "2023-05-14T06:00:42.559516Z",
     "iopub.status.idle": "2023-05-14T06:00:42.565747Z",
     "shell.execute_reply": "2023-05-14T06:00:42.564871Z",
     "shell.execute_reply.started": "2023-05-14T06:00:42.559894Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-100,  -99,  -98, ...,   98,   99,  100],\n",
       "       [-100,  -99,  -98, ...,   98,   99,  100],\n",
       "       [-100,  -99,  -98, ...,   98,   99,  100],\n",
       "       ...,\n",
       "       [-100,  -99,  -98, ...,   98,   99,  100],\n",
       "       [-100,  -99,  -98, ...,   98,   99,  100],\n",
       "       [-100,  -99,  -98, ...,   98,   99,  100]])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bs_grid\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "25d8d661-bdbb-422e-9b31-28d78efbf504",
   "metadata": {},
   "source": [
    "------\n",
    "# 梯度下降\n",
    "如何寻找成本最低的点呢？如果我们不想像上面那样暴力穷举，那么我们可以这样考虑：\n",
    "\n",
    "首先给定一个初始值，然后看看在这个值下，成本是上升还是下降的。若上升，则我们往下走，下降，往上走。\n",
    "也就是说，我们计算斜率，然后$新值=初始值-斜率*学习率$ 即可获得下一个值的位置。不断重复该过程，直到斜率无限接近0，或者走到预设的学习极限停止。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ace99277-3f5b-46b6-9370-44d055641b01",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:00:42.567829Z",
     "iopub.status.busy": "2023-05-14T06:00:42.567152Z",
     "iopub.status.idle": "2023-05-14T06:01:32.549666Z",
     "shell.execute_reply": "2023-05-14T06:01:32.548802Z",
     "shell.execute_reply.started": "2023-05-14T06:00:42.567790Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "01f0eb07f4dc451fa4f40babff7c9a22",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/30000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration     0: cost =  5.430977e+05 , w = -91.60 , b = -98.68, dw = -8403.014, db = -1321.467\n",
      "Iteration  1000: cost =  1.150307e+03 , w =  18.73 , b = -35.96, dw =  5.130, db = -34.163\n",
      "Iteration  2000: cost =  4.166750e+02 , w =  14.76 , b = -9.49, dw =  3.008, db = -20.030\n",
      "Iteration  3000: cost =  1.644968e+02 , w =  12.43 , b =  6.02, dw =  1.763, db = -11.743\n",
      "Iteration  4000: cost =  7.781317e+01 , w =  11.06 , b =  15.12, dw =  1.034, db = -6.885\n",
      "Iteration  5000: cost =  4.801664e+01 , w =  10.26 , b =  20.45, dw =  0.606, db = -4.037\n",
      "Iteration  6000: cost =  3.777443e+01 , w =  9.79 , b =  23.58, dw =  0.355, db = -2.367\n",
      "Iteration  7000: cost =  3.425380e+01 , w =  9.51 , b =  25.41, dw =  0.208, db = -1.388\n",
      "Iteration  8000: cost =  3.304363e+01 , w =  9.35 , b =  26.49, dw =  0.122, db = -0.814\n",
      "Iteration  9000: cost =  3.262766e+01 , w =  9.26 , b =  27.12, dw =  0.072, db = -0.477\n",
      "Iteration 10000: cost =  3.248468e+01 , w =  9.20 , b =  27.49, dw =  0.042, db = -0.280\n",
      "Iteration 11000: cost =  3.243554e+01 , w =  9.17 , b =  27.70, dw =  0.025, db = -0.164\n",
      "Iteration 12000: cost =  3.241865e+01 , w =  9.15 , b =  27.83, dw =  0.014, db = -0.096\n",
      "Iteration 13000: cost =  3.241284e+01 , w =  9.14 , b =  27.91, dw =  0.008, db = -0.056\n",
      "Iteration 14000: cost =  3.241085e+01 , w =  9.13 , b =  27.95, dw =  0.005, db = -0.033\n",
      "Iteration 15000: cost =  3.241016e+01 , w =  9.13 , b =  27.97, dw =  0.003, db = -0.019\n",
      "Iteration 16000: cost =  3.240993e+01 , w =  9.13 , b =  27.99, dw =  0.002, db = -0.011\n",
      "Iteration 17000: cost =  3.240985e+01 , w =  9.13 , b =  28.00, dw =  0.001, db = -0.007\n",
      "Iteration 18000: cost =  3.240982e+01 , w =  9.12 , b =  28.00, dw =  0.001, db = -0.004\n",
      "Iteration 19000: cost =  3.240981e+01 , w =  9.12 , b =  28.01, dw =  0.000, db = -0.002\n",
      "Iteration 20000: cost =  3.240981e+01 , w =  9.12 , b =  28.01, dw =  0.000, db = -0.001\n",
      "Iteration 21000: cost =  3.240981e+01 , w =  9.12 , b =  28.01, dw =  0.000, db = -0.001\n",
      "Iteration 22000: cost =  3.240981e+01 , w =  9.12 , b =  28.01, dw =  0.000, db = -0.000\n",
      "Iteration 23000: cost =  3.240981e+01 , w =  9.12 , b =  28.01, dw =  0.000, db = -0.000\n",
      "Iteration 23828: cost =  3.240981e+01 , w =  9.12 , b =  28.01, dw =  0.000, db = -0.000\n",
      "\n",
      "最终得到的w为9.12, b为28.01\n",
      "即预测的曲线为 y_pred = 9.12*x + 28.01\n"
     ]
    }
   ],
   "source": [
    "# 给定起始点，然后计算下一个点。\n",
    "\n",
    "# 初始值\n",
    "w = -100\n",
    "b = -100\n",
    "\n",
    "learning_rate = 1e-3 # 学习率\n",
    "costs_ = []\n",
    "depth = 30000\n",
    "precision = 0.00001 # 斜率精度\n",
    "\n",
    "\n",
    "\n",
    "cost_hist = []\n",
    "w_hist = []\n",
    "b_hist = []\n",
    "for i in tqdm(range(depth)):\n",
    "    cost = cal_cost(x, y, w, b)\n",
    "    costs_.append(cost)\n",
    "    \n",
    "    # 记录下降过程\n",
    "    w_hist.append(w)\n",
    "    b_hist.append(b)\n",
    "    cost_hist.append(cost)\n",
    "    \n",
    "    # 近似计算斜率，这样就不用导了。误差也不大。\n",
    "    dw = (cal_cost(x, y, w + precision, b) - cost)/precision\n",
    "    db = (cal_cost(x, y, w, b + precision) - cost)/precision\n",
    "    \n",
    "    # 新的预测值\n",
    "    w = w - dw * learning_rate\n",
    "    b = b - db * learning_rate\n",
    "    \n",
    "    \n",
    "    if (i%1000) == 0:\n",
    "        # 记录新的值\n",
    "        w_hist.append(w)\n",
    "        b_hist.append(b)\n",
    "        cost_hist.append(cost)\n",
    "        print(f\"Iteration {i:5}: cost = {cost: .6e} , w = {w: .2f} , b = {b: .2f}, dw = {dw: .3f}, db = {db: .3f}\")\n",
    "        # plot_pred(x,y,w,b)\n",
    "    \n",
    "    # 当变化率过小的时候，可以停止了。\n",
    "    if (abs(dw) + abs(db)) < 0.0001*2:\n",
    "        print(f\"Iteration {i:5}: cost = {cost: .6e} , w = {w: .2f} , b = {b: .2f}, dw = {dw: .3f}, db = {db: .3f}\")\n",
    "        break\n",
    "\n",
    "print(f\"\\n最终得到的w为{w:.2f}, b为{b:.2f}\\n即预测的曲线为 y_pred = {w:.2f}*x + {b:.2f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "8bfe090c-84e0-4b01-8cdd-be40d52f79f3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:01:32.551198Z",
     "iopub.status.busy": "2023-05-14T06:01:32.550869Z",
     "iopub.status.idle": "2023-05-14T06:01:32.865737Z",
     "shell.execute_reply": "2023-05-14T06:01:32.864826Z",
     "shell.execute_reply.started": "2023-05-14T06:01:32.551168Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(i + 1)[100:], costs_[100:])\n",
    "plt.title(\"梯度成本下降\")\n",
    "plt.xlabel(\"学习次数\")\n",
    "plt.ylabel(\"成本\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33096c4e-73fd-4e52-8a76-aa6d7af38398",
   "metadata": {},
   "source": [
    "可以看到最开始的时候，梯度下降特别快。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "96ec2898-c59c-4dab-8ec1-317a01739236",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:01:32.867150Z",
     "iopub.status.busy": "2023-05-14T06:01:32.866828Z",
     "iopub.status.idle": "2023-05-14T06:01:33.300058Z",
     "shell.execute_reply": "2023-05-14T06:01:33.299224Z",
     "shell.execute_reply.started": "2023-05-14T06:01:32.867120Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pred(x,y,w,b)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62cd9dac-09ca-4e4a-8ab1-0309e18a443e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-13T18:39:12.483779Z",
     "iopub.status.busy": "2023-05-13T18:39:12.482981Z",
     "iopub.status.idle": "2023-05-13T18:39:12.492054Z",
     "shell.execute_reply": "2023-05-13T18:39:12.490747Z",
     "shell.execute_reply.started": "2023-05-13T18:39:12.483712Z"
    },
    "tags": []
   },
   "source": [
    "根据以上，我们算出了最拟合的曲线应该是 y_pred = 9.12*x + 28.01\n",
    "\n",
    "当一个人工作经验为3.5时："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "fd3f25c1-5ff6-4faa-8bba-0fab29ab5f78",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:01:33.301679Z",
     "iopub.status.busy": "2023-05-14T06:01:33.301217Z",
     "iopub.status.idle": "2023-05-14T06:01:33.308005Z",
     "shell.execute_reply": "2023-05-14T06:01:33.307212Z",
     "shell.execute_reply.started": "2023-05-14T06:01:33.301647Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "59.93"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = 3.5\n",
    "Y_pred = 9.12*X + 28.01\n",
    "Y_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "3b58b6fc-4e4c-4ec7-b28b-3008f3354218",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-14T06:01:33.309361Z",
     "iopub.status.busy": "2023-05-14T06:01:33.309057Z",
     "iopub.status.idle": "2023-05-14T06:01:33.779860Z",
     "shell.execute_reply": "2023-05-14T06:01:33.778893Z",
     "shell.execute_reply.started": "2023-05-14T06:01:33.309332Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[9] [29]\n"
     ]
    }
   ],
   "source": [
    "# 绘图\n",
    "# %matplotlib ipympl\n",
    "ax = plt.axes(projection=\"3d\")\n",
    "ax.plot_surface(ws_grid, bs_grid, costs, cmap=\"Spectral_r\", alpha = 0.7)\n",
    "ax.set_title(\"成本函数\")\n",
    "ax.set_xlabel(\"w值\")\n",
    "ax.set_ylabel(\"b 值\")\n",
    "ax.set_zlabel(\"成本\")\n",
    "# ax.view_init(40,90)\n",
    "w_index, b_index = np.where(costs == np.min(costs))\n",
    "ax.plot(w_hist,b_hist,cost_hist)\n",
    "ax.scatter3D(32,-93,4799)\n",
    "ax.scatter3D(ws[w_index], bs[b_index], np.min(costs), color = 'red')\n",
    "plt.show()\n",
    "\n",
    "print(ws[w_index], bs[b_index])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09a7d340-272f-4d42-9036-df8f7d9193eb",
   "metadata": {},
   "source": [
    "-------------------------------\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "40f4842d-5075-4973-8430-61acddfe3d1c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
